Equivariant line bundles with connection on the p-adic upper half-plane
Abstract
Let F be a finite extension of ޑ p , let F be Drinfeld's upper half-plane over F and let G 0 the subgroup of GL 2 (F) consisting of elements whose determinant has norm 1.By working locally on F , we construct and classify the torsion G 0 -equivariant line bundles with integrable connection on the base change of F to any complete field extension of F containing the quadratic unramified extension of F in terms of the smooth linear characters of the units of the maximal order of the quaternion algebra over F.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Algebra & Number Theory
- Volume
- 20
- Issue
- 7
- Pages
- 1385–1450
- Publication date
- 14 August 2026
- Language
- EN